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Finding the Fourth Proportional to 131.38, 196.89 and 82.57

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Solution

The fourth proportional to 131.38, 196.89 and 82.57 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.38 : 196.89 = 82.57 : x
  2. Step 2: Convert to fraction form
    131.38/196.89 = 82.57/x
  3. Step 3: Cross multiply
    131.38x = 196.89 × 82.57
  4. Step 4: Simplify right side
    131.38x = 16,257.21
  5. Step 5: Solve for x
    x = 16,257.21/131.38
  6. Step 6: Final answer
    x = 123.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.